Speaker
Holger Perlt
(Institute for Theoretical Physics, Leipzig University)
Description
Employing the method of numerical stochastic perturbation theory we compute Wilson loops $W_{NM}$ of moderate sizes $N \times M$ up to loop order $n=20$. Results are presented for both plaquette and tree-level Symanzik gauge actions. Based on a hyperbolic fit ansatz we investigate the convergence behaviour on finite lattice sizes for both actions. It is shown that boosted perturbation theory improves the convergence of the series significantly for the Wilson gauge action. We compute the dependence of the difference with the Monte Carlo results ($\delta W_{11}=W_{11,PT}-W_{11,MC}$) on the lattice spacing $a$. Our data show that with inceasing loop order $n$ the magnitude of a spurious term proportional to $a2$ strongly decreases. We give some estimate to the gluon condensate $$.
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Primary authors
Dr
Arwed Schiller
(Institute for Theoretical Physics, Leipzig University)
Dr
Ernst-Michael Ilgenfritz
(Department of Physics, Bielefeld University)
Prof.
Gerrit Schierholz
(Institute for Theoretical Physics, Regensburg University, DESY)
Ms
Grit Hotzel
(Institute for Theoretical Physics, Leipzig University)
Holger Perlt
(Institute for Theoretical Physics, Leipzig University)
Dr
Paul E.L. Rakow
(Theoretical Physics Division, University of Liverpool)
Dr
Roger Horsley
(School of Physics and Astronomy, University of Edinburgh)
Dr
Yoshifumi Nakamura
(Institute for Theoretical Physics, Regensburg University)
